Question

If the coordinate of A is (0,-2) and the coordinate of B is (10,-6).What is the midpoint of AB?

a) (5, -4)
b) (10, -4)
c) (0, -4)
d) (5, -6)

Answer 1

The midpoint of the line segment AB with endpoints A(0, -2) and B(10, -6) is found using the midpoint formula and results in the coordinates (5, -4).

Step-by-step explanation:

To find the midpoint of a line segment in the Cartesian plane, you simply calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints. In this case, the coordinates of point A are (0, -2) and the coordinates of point B are (10, -6).

The formula for calculating the midpoint M of a line segment with endpoints A(x1, y1) and B(x2, y2) is:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the given values into the formula:

M = ((0 + 10) / 2, (-2 + -6) / 2) = (10 / 2, -8 / 2) = (5, -4)

Therefore, the midpoint of line segment AB is at the coordinates (5, -4).